What is the Least Common Multiple of 36724 and 36733?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 36724 and 36733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36724 and 36733, than apply into the LCM equation.

GCF(36724,36733) = 1
LCM(36724,36733) = ( 36724 × 36733) / 1
LCM(36724,36733) = 1348982692 / 1
LCM(36724,36733) = 1348982692

Least Common Multiple (LCM) of 36724 and 36733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36724 and 36733. First we will calculate the prime factors of 36724 and 36733.

Prime Factorization of 36724

Prime Factorization of 36733

Now multiplying the highest exponent prime factors to calculate the LCM of 36724 and 36733.

LCM(36724,36733) = 2² × 9181¹ × 109¹ × 337¹
LCM(36724,36733) = 1348982692